A generalization of a theorem of Arrow, Barankin and Blackwell to a nonconvex case

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KASIMBEYLİ N., KASIMBEYLİ R., Mammadov M.

OPTIMIZATION, cilt.65, sa.5, ss.937-945, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1080/02331934.2015.1132217
  • Dergi Adı: OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.937-945
  • Anahtar Kelimeler: Vector optimization, density theorem, nonlinear separation theorem, augmented dual cone, proper efficiency, 90C26, 90C29, 90C30, 90C46, 46N10, PROPER EFFICIENT POINTS, RADIAL EPIDERIVATIVES, DENSITY, RESPECT, SCALARIZATION, PRICES
  • Anadolu Üniversitesi Adresli: Evet

Özet

The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasing sublinear functions. This result is shown to hold for nonconvex sets of a partially ordered reflexive Banach space.